Properties of the Number 34021

Thirty-Four Thousand Twenty-One

Basics

Value: 34020 → 34021 → 34022

Parity: odd

Prime: No

Previous Prime: 34019

Next Prime: 34031

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 13 × 2617

Divisors: 1, 13, 2617, 34021

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000010011100101

Octal: 102345

Duodecimal: 17831

Hexadecimal: 84e5

Square: 1157428441

Square Root: 184.44782460088814

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,2,1,4,0 for x=0,1,2,3,4. A197167

Number of non-isomorphic aperiodic multiset partitions of weight n whose dual is also an aperiodic multiset partition. A320802

n written in fractional base 5/3. A24633

Constant term in the expansion of (1 + x·y + y·z + z·x + 1/(x·y*z))ⁿ. A361673

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,2,1,4,0 for x=0,1,2,3,4. A197162

Number of nX7 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,2,1,4,0 for x=0,1,2,3,4. A197166

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 593", based on the 5-celled von Neumann neighborhood. A273121

Ménage numbers: a(0) = 1, a(1) = -1, and for n >= 2, a(n) = number of permutations s of [0, ..., n-1] such that s(i) ≠ i and s(i) ≠ i+1 (mod n) for all i. A179

Number T(n,k) of permutations of {0,1,...,2n} with first element k whose sequence of ascents and descents forms a Dyck path; triangle T(n,k), n>=0, 0<=k<=2n, read by rows. A316728

Numbers that are primitively but not imprimitively represented by x²+xy+y². A34021